5164833960 has 384 divisors, whose sum is σ = 20209512960. Its totient is φ = 1127116800.

The previous prime is 5164833953. The next prime is 5164833983. The reversal of 5164833960 is 693384615.

5164833960 is a `hidden beast` number, since 516 + 48 + 3 + 3 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109457 + ... + 2111903.

It is an arithmetic number, because the mean of its divisors is an integer number (52628940).

Almost surely, 2^5164833960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164833960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104756480).

5164833960 is an abundant number, since it is smaller than the sum of its proper divisors (15044679000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5164833960 is a wasteful number, since it uses less digits than its factorization.

5164833960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5164833960 is about 71866.7792516125. The cubic root of 5164833960 is about 1728.5639636184.

The spelling of 5164833960 in words is "five billion, one hundred sixty-four million, eight hundred thirty-three thousand, nine hundred sixty".